Comparing and Ordering Rational Numbers

The video tutorial by Tiffany explains how to compare and order rational numbers. It emphasizes converting numbers to the same form when necessary and using a number line for comparison. Through six examples, the tutorial covers comparing integers, positive and negative numbers, decimals, fractions, and mixed forms. The video concludes with ordering all negative numbers, highlighting the importance of understanding absolute values and number line positioning.

Why is it important to convert all numbers to the same type when comparing them?

• To make calculations easier

• To avoid using a number line

• To ensure accurate comparisons

• To save time

Which of the following is true about the number line?

• Numbers to the left are positive

• Numbers to the right are smaller

• Numbers to the left are larger

• Numbers to the right are larger

In Example 1, which number is larger: -17 or -16?

• -16

• Cannot be determined

• They are equal

• -17

Why is 1/6 larger than -0.83 without any calculations?

• Because 1/6 is closer to zero

• Because decimals are smaller

• Because positive numbers are always larger than negative numbers

• Because fractions are always larger

Which number is closer to zero: -0.45 or -0.50?

• -0.45

• Cannot be determined

• -0.50

• They are equal

In Example 4, why is 1/6 closer to zero than -10?

• Because 1/6 is a fraction

• Because -10 is farther from zero

• Because -10 is a whole number

• Because 1/6 is less than 1

Which of the following is the smallest number: -7/12, 0.75, or 72?

• -7/12

• 0.75

• 72

• Cannot be determined

In Example 6, which number is closest to zero: -1.23, -1.2, or -3/20?

• They are all equally close

• -3/20

• -1.2

• -1.23

How can you compare two decimals effectively?

• By converting them to fractions

• By stacking them and adding zeros to equalize place values

• By using a number line

• By converting them to whole numbers

What is the correct order from least to greatest for the numbers: -1.23, -1.2, -3/20?

• -1.23, -3/20, -1.2

• -3/20, -1.2, -1.23

• -1.23, -1.2, -3/20

• -1.2, -1.23, -3/20